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11400400 = 2452112591
BaseRepresentation
bin101011011111…
…010011010000
3210110012102001
4223133103100
510404303100
61044203344
7165621214
oct53372320
923405361
1011400400
116487320
123999554
1324920cb
14172a944
151002d6a
hexadf4d0

11400400 has 60 divisors (see below), whose sum is σ = 29890944. Its totient is φ = 4144000.

The previous prime is 11400397. The next prime is 11400401. The reversal of 11400400 is 400411.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11400401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3105 + ... + 5695.

Almost surely, 211400400 is an apocalyptic number.

11400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14945472).

11400400 is an abundant number, since it is smaller than the sum of its proper divisors (18490544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11400400 is a wasteful number, since it uses less digits than its factorization.

11400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 11400400 is about 3376.4478375950. The cubic root of 11400400 is about 225.0643437376.

Adding to 11400400 its reverse (400411), we get a palindrome (11800811).

The spelling of 11400400 in words is "eleven million, four hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 2591 4400 5182 10364 12955 20728 25910 28501 41456 51820 57002 64775 103640 114004 129550 142505 207280 228008 259100 285010 456016 518200 570020 712525 1036400 1140040 1425050 2280080 2850100 5700200 11400400